Here is the full list of all 40 XCOM: Chimera Squad achievements. It takes around 60-80 hours to unlock all of the achievements on Windows.
Win the campaign on Impossible difficulty.
Launch a mission with no human agents in the squad.
Use every Agent in at least one mission.
Complete all versions of each Faction’s Takedown mission over multiple campaigns.
Use Blueblood to hit 3 or more enemies with one Phase Lance shot.
Kill an enemy with Axiom while Berserk.
Complete a mission with only one Agent left standing.
Complete an encounter by only dealing damage with melee attacks.
Win the campaign.
Complete the Sacred Coil Investigation.
Complete every Spec Op at least once in a single campaign.
Use Verge to do 10 or more damage with one Mindflay.
As Godmother, activate Overtime and down an enemy on both turns.
Relocate the same unit with Shelter and his ghost in one turn.
Reach max rank with all Agents in a single campaign.
Move a VIP with Shelter’s Relocate and Torque’s Tongue Pull.
Capture a Ronin.
Fully upgrade an Android.
Use every type of Breach point.
Buy 20 unique Scavenger Market items in a single campaign.
Complete the Progeny Investigation.
Complete 20 Assembly Projects in a single campaign.
Have Rank 3 Field Teams in all nine districts.
Capture a Sorcerer.
Complete all of one Agent’s class training.
Complete a mission without killing a single enemy.
Use Torque to Tongue Pull an enemy into poison.
Clear an entire encounter during the Breach turn.
Unlock all Field Abilities.
Complete an objective with an action from Terminal’s Cooperation.
Use Claymore to detonate a Shrapnel Bomb with another explosive.
Have 8 Agents in the squad in a single campaign.
Replace an Agent mid-mission with an Android.
Use Zephyr to hit 3 or more enemies with one use of Crowd Control.
Equip an Epic Weapon.
Complete the Gray Phoenix Investigation.
Hack an enemy Android with Patchwork and trigger Self-Destruct.
Capture a Praetorian.
Have Kinetic Armor on all 4 squad members at once.
Complete the tutorial.